A145290 Numbers n such that prime[(n + 1)^2] - prime[n^2] is a perfect square.

2, 30, 32, 180, 269, 820, 1282, 1403, 2102, 2152, 2344, 2616, 4459, 6329, 6604, 7325, 7893, 9988, 10270, 10441, 10662, 11700, 11740, 11846, 12279, 18754, 18927, 23781, 27096, 27294, 27531, 31005, 33616, 36374, 38266, 43557, 43680, 44263, 45945

Offset: 1

Author

Zak Seidov, Oct 06 2008

Keywords

• nonn

Comments

n such that A011757(n + 1) - A011757(n) is a perfect square

Examples

			n = 2, prime[(n + 1)^2] - prime[n^2]=23 - 7 = 16 = 4^2; n = 30, prime[(n + 1)^2] - prime[n^2]=7573 - 6997 = 576 = 24^2
		

Crossrefs

A011757 prime(n^2)

Programs

Mathematica

Do[If[IntegerQ[Sqrt[Prime[(i + 1)^2] - Prime[i^2]]], Print[i]], {i, 1, 20000}]

Extensions

a(28)-a(39) from Donovan Johnson, Sep 16 2009